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math.MG2023
Sharp Hausdorff content estimates for accessible boundaries of domains in metric measure spaces of controlled geometry
Sylvester Eriksson-Bique, Ryan Gibara, Riikka Korte +1
We give a sharp Hausdorff content estimate for the size of the accessible boundary of any domain in a metric measure space of controlled geometry, i.e., a complete metric space equ…
math.MG2023
Traces of Newton-Sobolev functions on the visible boundary of domains in doubling metric measure spaces supporting a -Poincaré inequality
Sylvester Eriksson-Bique, Ryan Gibara, Riikka Korte +1
We consider the question of whether a domain with uniformly thick boundary at all locations and at all scales has a large portion of its boundary visible from the interior; here, "…